How do you simplify root4(16) *root4(128)?

1 Answer
Lovecraft
Oct 2, 2015

root(4)(16)*root(4)(128) = 4root(4)(2^(3))

Explanation:

2*2*2*2 =16 = 2^4
16*2*2*2 = 128 = 2^(4+3) = 2^7

root(4)(16)*root(4)(128) = root(4)(2^4)*root(4)(2^(4+3))
root(4)(16)*root(4)(128) = 2*2*root(4)(2^(3))
root(4)(16)*root(4)(128) = 4root(4)(2^(3))

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1447 views around the world
You can reuse this answer
Creative Commons License